The Symmetrized Square-Root Potential: Exact Solutions and Application to the Two-Dimensional Massless Dirac Equation

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作者：
Axel Schulze-Halberg
机构：
[1] Indiana University Northwest,Department of Mathematics and Actuarial Science and Department of Physics
来源：
Few-Body Systems | 2018年 / 59卷
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摘要：
We determine bound-state solutions and associated energy eigenvalues of a boundary-value problem that is governed by the Schrödinger equation for a symmetrized, inverse square-root potential. We use these results to construct a scalar potential for which the two-dimensional massless Dirac equation admits zero-energy solutions.
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